Question

find the quotient. be sure to ch
b. $\frac{2}{3} div 4$

Explanation:

Step1: Recall division of fractions rule

To divide a fraction by a whole number, we can rewrite the whole number as a fraction with denominator 1, then multiply by its reciprocal. So, \( \frac{2}{3} \div 4=\frac{2}{3} \div \frac{4}{1} \), and dividing by a fraction is multiplying by its reciprocal, so \( \frac{2}{3} \times \frac{1}{4} \).

Step2: Multiply the numerators and denominators

Multiply the numerators: \( 2\times1 = 2 \). Multiply the denominators: \( 3\times4 = 12 \). So we have \( \frac{2}{12} \), which simplifies by dividing numerator and denominator by their greatest common divisor, which is 2. \( \frac{2\div2}{12\div2}=\frac{1}{6} \).

Answer:

\( \frac{1}{6} \)